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A new method is discussed which vastly simplifies one of the two integrals over AdS(d+1) required to compute exchange graphs for 4-point functions of scalars in the AdS/CFT correspondence. The explicit form of the bulk-to-bulk propagator is…

High Energy Physics - Theory · Physics 2009-10-08 Eric D'Hoker , Daniel Z. Freedman , Leonardo Rastelli

In this work, we propose a novel holographic method for computing correlation functions of operators in conformal field theories. This method refines previous approaches and is specifically aimed at being applied to heavy operators. For…

High Energy Physics - Theory · Physics 2024-12-02 Tengzhou Lai , Ya-Wen Sun , Jia Tian

We develop the representation of interacting bulk gauge fields and charged scalar matter in AdS in terms of non-local observables in the dual CFT. We work in holographic gauge in the bulk, A_z = 0. The correct statement of micro-causality…

High Energy Physics - Theory · Physics 2013-04-17 Daniel Kabat , Gilad Lifschytz

We study three-point correlation functions of scalar operators in conformal field theories with boundaries and interfaces. We focus on two cases where there are one bulk and two boundary operators (B$\partial\partial$), or two bulk and one…

High Energy Physics - Theory · Physics 2023-09-27 Junding Chen , Xinan Zhou

In a class of 2D CFTs with higher spin symmetry, we compute thermal two-point functions of certain scalar primary operators in the presence of nonzero chemical potential for higher spin charge. These are shown to agree with the same…

High Energy Physics - Theory · Physics 2015-06-16 Matthias R. Gaberdiel , Kewang Jin , Eric Perlmutter

We consider type IIB supergravity on a $\mathbb{Z}_2$ quotient of AdS$_5\times$S$^5$ as the holographic dual of strongly coupled 4d $\mathcal{N}=4$ SYM on $\mathbb{RP}^4$ space with the gauging of charge conjugation. Using bootstrap…

High Energy Physics - Theory · Physics 2024-08-12 Xinan Zhou

We study correlation functions of two AdS giant gravitons in AdS$_5\times S^5$ and a BPS supergravity mode using holography. In the gauge theory these are described by BPS correlators of Schur polynomials of fully-symmetric representations…

High Energy Physics - Theory · Physics 2023-06-07 Adolfo Holguin , Wayne W. Weng

Conformal blocks are the fundamental, theory-independent building blocks in any CFT, so it is important to understand their holographic representation in the context of AdS/CFT. We describe how to systematically extract the holographic…

High Energy Physics - Theory · Physics 2019-06-21 Christian Baadsgaard Jepsen , Sarthak Parikh

We construct new continuous families of ${\rm AdS}_3\times S^3\times {\rm T}^4$ and ${\rm AdS}_3\times S^3\times S^3\times S^1$ solutions in heterotic and type II supergravities. These families are found in three-dimensional consistent…

High Energy Physics - Theory · Physics 2024-11-13 Camille Eloy , Gabriel Larios

Using recent results in four-derivative 5d $\mathcal{N}=2$ minimal gauged supergravity, we evaluate the regularized on-shell action of the Euclidean solution in this theory that admits a Lorentzian continuation to an AdS$_5$ black hole with…

High Energy Physics - Theory · Physics 2023-01-04 Nikolay Bobev , Vasil Dimitrov , Valentin Reys , Annelien Vekemans

The AdS/CFT correspondence is applied to a close analogue of the little hierarchy problem in $AdS_{d+1}$, $d \geq 3$. The new mechanism requires a Maxwell field that gauges a $U(1)_R$ symmetry in a bulk supergravity theory with a negative…

High Energy Physics - Theory · Physics 2015-10-08 Xi Dong , Daniel Z. Freedman , Yue Zhao

The correlation function in Ads/CFT are correlation of the operator insertions on the boundary (at CFT) through the complete geometry of bulk. These are represented by Witten diagrams which at tree level doesn't have any quantum…

High Energy Physics - Theory · Physics 2024-05-20 Aryaman Mishra

3d N=2 partition functions on the squashed three-sphere and on the twisted product S2xS1 have been shown to factorize into sums of squares of solid tori partition functions, the so-called holomorphic blocks. The same set of holomorphic…

High Energy Physics - Theory · Physics 2018-09-06 Fabrizio Nieri , Sara Pasquetti , Filippo Passerini

In this note, we study $1/4$- and $1/2$-BPS co-dimension two superconformal defects in the $6d$ $\mathcal{N}=(2,0)$ $A_{N-1}$ SCFT at large $N$ using their holographic descriptions as solutions of $11d$ supergravity. In this regime, we are…

High Energy Physics - Theory · Physics 2024-04-23 Pietro Capuozzo , John Estes , Brandon Robinson , Benjamin Suzzoni

We present a general and systematic treatment of multi-trace deformations in the AdS/CFT correspondence in the large N limit, pointing out and clarifying subtleties relating to the formulation of the boundary value problem on a conformal…

High Energy Physics - Theory · Physics 2010-10-27 Ioannis Papadimitriou

By using the approach introduced in arXiv:2107.09677 we construct non-BPS solutions of 6D $(1,0)$ supergravity coupled to two tensor multiplets as a perturbation of AdS$_3\times S^3$. These solutions are both regular and asymptotically…

High Energy Physics - Theory · Physics 2022-03-15 Bogdan Ganchev , Stefano Giusto , Anthony Houppe , Rodolfo Russo

Using holographic renormalization, we study correlation functions throughout a renormalization group flow between two-dimensional superconformal field theories. The ultraviolet theory is an N=(4,4) CFT which can be thought of as a symmetric…

High Energy Physics - Theory · Physics 2009-11-07 Marcus Berg , Henning Samtleben

We study the analytic structure of the heavy-heavy-light-light holographic correlators in the supergravity approximation of the AdS$_3 \times S^3$/CFT$_2$ duality. As an explicit example, we derive the correlator where the heavy operator is…

High Energy Physics - Theory · Physics 2023-11-09 Stefano Giusto , Cristoforo Iossa , Rodolfo Russo

We study extremal correlation functions of chiral primary operators in the large-N SU(N) ${\cal N} = 2$ superconformal QCD theory and present new results based on supersymmetric localization. We discuss extensively the basis-independent…

High Energy Physics - Theory · Physics 2017-03-08 Marco Baggio , Vasilis Niarchos , Kyriakos Papadodimas , Gideon Vos

Theories in 5 dimensions with minimal supersymmetry are studied for domain-wall solutions and in the context of the AdS/CFT correspondence. The scalar manifold is a product of a very special real manifold and a quaternionic-Kaehler…

High Energy Physics - Theory · Physics 2009-11-07 Antoine Van Proeyen